Answer: Length of AB = Length of A′B′
Step-by-step explanation:
Given : Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′.
We know that a rotation is a rigid motion which does not changes shape and size of the figure.
It means the corresponding side lengths are equal.
Thus , if Figure ABCD is rotated to form A′B′C′D′, then the corresponding sides of both of them are equal.
i.e. Length of AB = Length of A′B′
Length of BC = Length of B′C′
Length of CD = Length of C′D′
Length of DA = Length of D′A′
Hence, the statement best compares the lengths of the sides of the two figures : Length of AB = Length of A′B′
